Head arm assembly and disk drive device with the head arm assembly having enhanced impact resistance
A head arm assembly (HAA) includes a head slider having at least one head element, an arm member for supporting the head slider at one end section, an actuator, mounted to the other end section of the arm member, for rotationally moving the arm member in a direction substantially parallel with a recording medium surface around an axis for horizontal rotation of the arm member, and a load generation unit for generating a load for energizing the head slider in a direction to the recording medium surface by rotationally moving the arm member in a direction substantially orthogonal to the recording medium surface around an axis for vertical rotation. The position of the center of gravity of the HAA is located at a different position from the axis for vertical rotation on a center axis of the arm member.
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The present invention relates to a head arm assembly (HAA) having a recording and/or a reproducing head such as a flying type thin-film magnetic head or a flying type optical head, and to a disk drive device with the HAA.
DESCRIPTION OF THE RELATED ARTIn a magnetic disk drive device, a magnetic head slider for writing magnetic information into and/or reading magnetic information from a magnetic disk is in general formed on a magnetic head slider flying in operation above a rotating magnetic disk. The slider is fixed at a top end section of an HAA.
The conventional HAA includes a support arm with high rigidity, a voice coil motor (VCM) that is an actuator to rotationally move this support arm in parallel with a magnetic disk surface, a suspension having elasticity, which is fixed to a tip end of the support arm, and a magnetic head slider mounted to a top end section of the suspension, and it is constructed so that a load applied to the magnetic head slider in a direction to the magnetic disc surface generated with a leaf spring provided at the suspension itself, or a leaf spring provided at a connecting section of the suspension and the support arm.
In the HAA with the conventional structure as described above, the magnetic head slider is mounted to the suspension at the tip of the leaf spring, and therefore when an impact is applied thereto from outside, there is a fear that the magnetic head slider is strongly vibrated and collided against the magnetic disk surface, and gives a damage to the disk surface.
In order to improve resistance of the HAA with the conventional structure against the impact, an HAA with a new structure, in which a main part of the HAA is constructed by an arm member with high rigidity, a magnetic head slider is mounted to one end section of the arm member while a VCM is mounted to the other end section, a support point to make it possible to rotationally move in a direction orthogonal to the surface of the magnetic disc is provided in the middle of the one end and the other end of the arm member, and a leaf spring for load generation is mounted to that section, is researched and developed (not known at the time of this application).
SUMMARY OF THE INVENTIONIt is therefore an object of the present invention to provide a new structure HAA capable of enhancing having an impact resistance, and a disk drive device including the HAA.
According to the present invention, an HAA includes a head slider having at least one head element, an arm member for supporting the head slider at one end section, an actuator, mounted to the other end section of the arm member, for rotationally moving the arm member in a direction substantially parallel with a recording medium surface around an axis for horizontal rotation of the arm member, and a load generation unit for generating a load for energizing the head slider in a direction to the recording medium surface by rotationally moving the arm member in a direction substantially orthogonal to the recording medium surface around an axis for vertical rotation. The position of the center of gravity of the HAA is located at a different position from the axis for vertical rotation on a center axis of the arm member.
Also, according to the present invention, a disk drive device including at least one of the HAA is further provided.
The head slider and the actuator such as a VCM are mounted to respective end sections of an arm member, and the axis for horizontal rotation is located between them. The arm member is constructed to be able to rotationally move in the direction substantially orthogonal to the recording medium surface around the axis for vertical rotation, and the head slider is biased in the direction of the recording medium surface by the load generation unit. In the HAA with such a new structure, the position of the center of gravity is set to be displaced to a different position from the axis for vertical rotation on the center axis of the arm member. By appropriately selecting the displacement of this position of the center of gravity, it becomes possible to keep the load applied to the head slider substantially constant irrespective of the positive and negative direction, i.e., sense, and the value of the impact acceleration applied from outside, and it becomes possible to enhance impact resistance dramatically. By adjusting the displacing amount and the positive and negative direction, i.e., sense, of the position of the center of gravity, the load property applied to the head slider with respect to the impact acceleration applied from outside can be varied. Accordingly, it becomes possible to compensate positive pressure or negative pressure occurring to an air bearing surface (ABS) of the head slider during rotation of the recording medium with this displacing amount. As a result, degree of freedom of the ABS design of the head slider is improved to a large extent, and it also becomes possible to obtain a desired flying property for the head slider with the ABS area being very small.
It is preferred that a force applied to the head slider by a rotational moment occurring due to an applied impact acceleration and a displacement of the position of the center of gravity is set to be not more than negative pressure or positive pressure occurring to an ABS of the head slider due to rotation of the recording medium.
It is also preferred that the position of the center of gravity is located at a position between the actuator and the vertical rotation axis.
It is preferred that the position of the center of gravity is a position which substantially satisfies L2=M1×L1/M2, where M1 is a mass at a load point to the head slider, M2 is a mass at the position of the center of gravity, L1 is a distance between a load point to the head slider and the vertical rotation axis, L2 is a distance between the vertical rotation axis and the position of the center of gravity.
It is further preferred that when the position of the center of gravity is at a position which substantially satisfies L2>M1×L1/M2, an ABS of the head slider is set so that positive pressure occurring to the ABS due to rotation of the recording medium is not less than a product of an inertial force obtained from a mass of a part from the position of center of gravity of the head arm assembly to the head slider and an applied impact acceleration.
It is preferred that when the position of the center of gravity is at a position which substantially satisfies L2<M1×L1/M2, where M1 is a mass at a load point to the head slider, M2 is a mass at the position of the center of gravity, L1 is a distance between a load point to the head slider and the vertical rotation axis, L2 is a distance between the vertical rotation axis and the position of the center of gravity, an ABS of the head slider is set so that negative pressure occurring to the ABS due to rotation of the recording medium is not less than a product of an inertial force obtained from a mass of a part from the position of center of gravity of the head arm assembly to the head slider and an applied impact acceleration.
It is also preferred that the position of the center of gravity is located at a position between the head slider and the vertical rotation axis.
It is further preferred that when the position of the center of gravity is at a position which substantially satisfies L2<M1×L1/M2, where M1 is a mass at a load point to the head slider, M2 is a mass at the position of the center of gravity, L1 is a distance between a load point to the head slider and the vertical rotation axis, L2 is a distance between the vertical rotation axis and the position of the center of gravity, an ABS of the head slider is set so that negative pressure occurring to the ABS due to rotation of the recording medium is not less than a product of an inertial force obtained from a mass of a part from the position of center of gravity of the head arm assembly to the head slider and an applied impact acceleration.
It is still further preferred that the axis for horizontal rotation is provided at a horizontal rotation bearing part located at a midpoint of the arm member, and the axis for vertical rotation includes a protuberance provided in the vicinity of the horizontal rotation bearing part.
It is preferred that the load generation unit includes a leaf spring connected to the horizontal bearing part and to the arm member.
It is also preferred that the arm member includes a support arm having rigidity, and a flexure having elasticity, which is supported at one end section of the support arm and for controlling a flying attitude of the head slider, and the head slider is fixed on the flexure. In this case, preferably the arm member further includes a load beam having rigidity and including a load protrusion for applying load to the head slider, the flexure being fixed on the load beam.
Further objects and advantages of the present invention will be apparent from the following description of the preferred embodiments of the invention as illustrated in the accompanying drawings.
In these drawings, reference numeral 10 denotes a support arm having high rigidity, 11 denotes a load beam also having high rigidity with its base section fixed to a top end section of the support arm 10, 12 denotes a flexure which is fixed to a top end section of the load beam 11 and has elasticity to control a flying attitude of a magnetic head slider 13, 13 denotes the magnetic head slider which is fitted to a tip end of the flexure 12 and includes at least one magnetic head element, 14 denotes a leaf spring for generating a load applied to the magnetic head slider 13, 15 denotes a fixing member for this leaf spring 14, 16 denotes a horizontal bearing part (bearing housing) for rotationally moving the support arm 10 in a direction parallel with the surface of a magnetic disk 17, 18 denotes a coil assembly which has a coil 19 for a VCM and is mounted to the support arm 10, 20 denotes a mounting spacer, and 21 denotes a nut, respectively.
The support arm 10 is constructed by a metal plate member having sufficient rigidity, for example, a stainless steel plate (for example, SUS304TA) about 330 μm thick, or a resin plate member.
The load beam 11 is constructed by a metal plate member having sufficient rigidity, for example, a stainless steel plate (for example, SUS304TA) about 40 μm thick. The load beam 11 and the support arm 10 are fixed by pinpoint fixation by a plurality of welded points with use of a laser beam or the like when the support arm 10 is a metal plate member.
The flexure 12 is constructed so as to give suitable stiffness to the magnetic head slider 13 pressed and loaded by a dimple 11a being a protuberance for applying a load provided at a top end section of the load beam 11. The flexure 12 is constructed by a stainless steel plate (for example, SUS304TA) about 25 μm thick in this embodiment. The flexure 12 and the load beam 11 are fixed by pinpoint fixation by a plurality of welded points with use of a laser beam or the like.
The leaf spring 14 is formed of a metal leaf spring material in substantially a circular shape or substantially a semicircular shape, and its thickness and quality are suitably selected so as to be able to give a desired load to the magnetic head slider 13. In this embodiment, the leaf spring 14 is constructed by a stainless steel plate (for example, SUS304TA) about 40 μm thick. The leaf spring 14 is placed to be coaxial with the fixing member 15, a mounting hole 10a of the support arm 10 and the bearing housing 16, both end sections of the semicircular shape are fixed to the support arm 10, and a central portion is fixed to the bearing housing 16 via the fixing member 15. Accordingly, the support arm 10 is supported by the bearing housing 16 via the leaf spring 14. A rotation axis of the bearing housing 16 is an axis for horizontal rotation 25a of the support arm 10, accordingly, the HAA, and the bearing housing 16 and the support arm 10 rotationally move together in the horizontal direction with this rotation axis 25a as the center.
The fixing member 15 is formed of a metal plate with high rigidity in substantially a semicircular shape, and in this embodiment, it is constructed by, for example, a stainless steel plate (for example, SUS304TA) about 100 μm thick.
A pair of protuberances, namely, pivots 22 as shown in
The leaf spring 14 provides an elastic force in the direction shown by an arrow 23 to the support arm 10 having rigidity. Thus, the support arm 10 rotationally moves around fulcrums of the pivots 22 to move the dimple 11a of the load beam 11 having rigidity in the direction of an arrow 24 causing that a load is applied to the magnetic head slider 13.
According to this construction, the support arm 10 and the load beam 11 can be constructed by members with high rigidity, and therefore resistance against the impact applied form outside can be enhanced. In addition, a resonance frequency can be increased by using the arm with high rigidity, thus making it possible to perform positioning with high precision at a high speed without causing an unnecessary vibration mode.
The important point in this embodiment is that a position of a center of gravity of the HAA is displaced to a predetermined position 26 nearer to the VCM coil 19 than the axis for vertical rotation 25b that is the pivots 22, on the axis line of the arm member 10. The position of the center of gravity is deviated on the axis line of the arm member 10 without conforming to the axis for vertical rotation 25b that is the fulcrum, whereby it is made possible to keep the load applied to the magnetic head slider 13 substantially constant irrespective of a positive and negative direction and a value of the impact acceleration applied from outside, and it becomes possible to enhance impact resistance dramatically.
The position of the center of gravity to be displaced will be explained using a model of the simple particles and the beam having no mass, shown in
Here, if it is assumed that point A is a load application point to the magnetic head slider 13, point B is a fulcrum, point C is a center of gravity, an impact acceleration applied from an outside is α, a gravitational acceleration is G, a distance between the point A and the point B is L1, a distance between the point B and the point C is L2, a force a particle M1 exerts on the point A is Fa, a force a particle M2 exerts on the point A is Fa′, and a force the particle M2 generates at the point C is Fc,
Fa=M1×α
Fa′=Fc×L2/L1. Since a change in a load at the point A at the time of the application of the impact acceleration is Fa−Fa′, if this is zero, the load to the magnetic head slider does not change even if the impact acceleration is applied. Accordingly,
(M1−M2×L2/L1)×(α−G)=0
becomes this condition. Namely, the position of the center of gravity may be any position if only it substantially satisfies L2=M1×L1/M2.
The models used are assumed to be metal springs 80 μm thick and 2 mm wide, which meet the stress condition (<60 kgf/mm2), and obtain the reaction force with the amount pressed in the Z-axis direction at the fulcrums being fixed at 70 μm.
In case that the position of the center of gravity is displaced to the magnetic head slider from the fulcrum, in case that the position of the center of gravity is made to correspond to the fulcrum, and in case that the position of the center of gravity is slightly displaced to the VCM from the fulcrum as shown in
On the other hand, in case that the position of the center of gravity is displaced to the VCM by about 0.087 mm from the fulcrum as shown in
Further, in case that the position of the center of gravity is further displaced to the VCM side as shown in
As described above, by displacing the position of the center of gravity from the vertical rotation axis to the predetermined position, the resistance against impact of the HAA can be substantially improved. On the other hand, by adjusting the displacement amount and the positive and negative direction of the position of the center of gravity, the load property applied to the head slider with respect to the impact acceleration applied from outside can be changed, and therefore it becomes possible to compensate positive pressure or negative pressure occurring to the ABS of the magnetic head slider by this displacement amount. As a result, the degree of freedom of the ABS design of the magnetic head slider is substantially improved, and it also becomes possible to obtain a desired flying property with respect to the head slider with a very small ABS area.
More generally, the weight and the position of the center of gravity of the entire HAA is set so that a force FMA, which is applied to the magnetic head slider 113 by a rotational moment MA occurring based on an applied impact acceleration αA and displacement of the position 110 of the center of gravity from the fulcrum position 111, becomes negative pressure FNE, which occurs to the ABS of this magnetic head slider 113, or less, when a position of center of gravity 110 is displaced to the VCM coil 112 from a pivot (fulcrum) position 111 so that L2>M1×L1/M2 as shown in
When the position of the center of gravity is displaced to the VCM under the condition of L2>M1×L1/M2 as described above, with respect to the impact acceleration applied in the reverse direction, the weight and the position of the center of gravity of the entire HAA are set so that a force FMB, which is applied to the magnetic head slider 113 by a rotational moment MB occurring based on the impact acceleration αB and displacement of the position 110 of the center of gravity from the fulcrum position 111, becomes positive pressure Fpo, which occurs to the ABS of this magnetic head slider 113, or less, as shown in
The weight of the entire HAA and the position of the center of gravity are set so that a force FMA, which is applied to the magnetic head slider 133 by a rotational moment MA occurring based on an applied impact acceleration αA and displacement of the position 130 of the center of gravity from the fulcrum position 131, becomes positive pressure Fpo, which occurs to the ABS of this magnetic head slider 133, or less, when a position 130 of center of gravity is displaced a the magnetic head slider 133 from a fulcrum position 131 so that L2<M1×L1/M2 (where M1: mass at the load point to the magnetic head slider 133, M2: mass at a position 110 of center of gravity, L1: distance between a load point to the magnetic head slider 133 and the fulcrum 111, L2: distance between the fulcrum 111 and the position 110 of the center of gravity), or when the position 130 of the center of gravity is displaced to a VCM coil 132 (not shown), as shown in
When the position of the center of gravity is displaced to the magnetic head slider or the VCM under the condition of L2<M1×L1/M2 as described above, with respect to the impact acceleration applied in the reverse direction, the weight and the position of the center of gravity of the entire HAA are set so that a force FMB, which is applied to the magnetic head slider 133 by a rotational moment MB occurring based on the impact acceleration αB and displacement of the position 130 of the center of gravity from the fulcrum position 131, becomes negative pressure FNE, which occurs to the ABS of this magnetic head slider 133, or less, as shown in
The present invention is explained with use of the HAA including the thin film magnetic head element, but the present invention is not limited only to the HAA like this, but it is obvious that the present invention is applicable to the HAA including the head element such as, for example, an optical head element other than a thin-film electromagnetic head element.
Many widely different embodiments of the present invention may be constructed without departing from the spirit and scope of the present invention. It should be under stood that the present invention is not limited to the specific embodiments described in the specification, except as defined in the appended claims.
Claims
1. A head arm assembly comprising:
- a head slider having at least one head element;
- an arm member for supporting the head slider at one end section;
- an actuator, mounted to the other end section of the arm member, for rotationally moving the arm member in a direction substantially parallel with a recording medium surface around an axis for horizontal rotation of the arm member; and
- a load generation means for generating a load for energizing said head slider in a direction to the recording medium surface by rotationally moving said arm member in a direction substantially orthogonal to said recording medium surface around an axis for vertical rotation,
- the position of the center of gravity of the head arm assembly being located at a different position from said axis for vertical rotation on a center axis of said arm member.
2. The head arm assembly as claimed in claim 1, wherein a force applied to said head slider by a rotational moment occurring due to an applied impact acceleration and a displacement of said position of the center of gravity is set to be not more than a pressure occurring to an air bearing surface of said head slider due to rotation of said recording medium.
3. The head arm assembly as claimed in claim 1, wherein said position of the center of gravity is located at a position between said actuator and said axis for vertical rotation.
4. The head arm assembly as claimed in claim 3, wherein said position of the center of gravity is a position which substantially satisfies L2=M1×L1/M2, where M1 is a mass at a load point to said head slider, M2 is a mass at said position of the center of gravity, L1 is a distance between a load point to said head slider and said axis for vertical rotation, L2 is a distance between said axis for vertical rotation and said position of the center of gravity.
5. The head arm assembly as claimed in claim 3, wherein when said position of the center of gravity is at a position which substantially satisfies L2>M1×L1/M2, where M1 is a mass at a load point to said head slider, M2 is a mass at said position of the center of gravity, L1 is a distance between a load point to said head slider and said axis for vertical rotation, L2 is a distance between said axis for vertical rotation and said position of the center of gravity, an air bearing surface of said head slider is set so that positive pressure occurring to the air bearing surface due to rotation of said recording medium is not less than a product of an inertial force obtained from a mass of a part from said position of center of gravity of the head arm assembly to said head slider and an applied impact acceleration.
6. The head arm assembly as claimed in claim 3, wherein when said position of the center of gravity is at a position which substantially satisfies L2<M1×L1/M2, where M1 is a mass at a load point to said head slider, M2 is a mass at said position of the center of gravity, L1 is a distance between a load point to said head slider and said axis for vertical rotation, L2 is a distance between said axis for vertical rotation and said position of the center of gravity, an air bearing surface of said head slider is set so that negative pressure occurring to the air bearing surface due to rotation of said recording medium is not less than a product of an inertial force obtained from a mass of a part from said position of center of gravity of the head arm assembly to said head slider and an applied impact acceleration.
7. The head arm assembly as claimed in claim 1, wherein said position of the center of gravity is located at a position between said head slider and said axis for vertical rotation.
8. The head arm assembly as claimed in claim 7, wherein when said position of the center of gravity is at a position which substantially satisfies L2<M1×L1/M2, where M1 is a mass at a load point to said head slider, M2 is a mass at said position of the center of gravity, L1 is a distance between a load point to said head slider and said axis for vertical rotation, L2 is a distance between said axis for vertical rotation and said position of the center of gravity, an air bearing surface of said head slider is set so that negative pressure occurring to the air bearing surface due to rotation of said recording medium is not less than a product of an inertial force obtained from a mass of a part from said position of center of gravity of the head arm assembly to said head slider and an applied impact acceleration.
9. The head arm assembly as claimed in claim 1, wherein said axis for horizontal rotation is provided at a horizontal rotation bearing part located at a midpoint of said arm member, and said axis for vertical rotation comprises a protuberance provided in the vicinity of the horizontal rotation bearing part.
10. The head arm assembly as claimed in claim 9, wherein said load generation means comprises a leaf spring connected to said horizontal rotation bearing part and to said arm member.
11. The head arm assembly as claimed in claim 1, wherein said arm member comprises a support arm having rigidity, and a flexure having elasticity, which is supported at one end section of the support arm and for controlling a flying attitude of said head slider, and the head slider is fixed on the flexure.
12. The head arm assembly as claimed in claim 11, wherein said arm member further comprises a load beam having rigidity and including a load protrusion for applying load to said head slider, said flexure being fixed on the load beam.
13. A disk drive device including at least one head arm assembly that comprises:
- a head slider having at least one head element;
- an arm member for supporting the head slider at one end section;
- an actuator, mounted to the other end section of the arm member, for rotationally moving the arm member in a direction substantially parallel with a recording medium surface around an axis for horizontal rotation of the arm member; and
- a load generation means for generating a load for energizing said head slider in a direction to the recording medium surface by rotationally moving said arm member in a direction substantially orthogonal to said recording medium surface around an axis for vertical rotation,
- the position of the center of gravity of the head arm assembly being located at a different position from said axis for vertical rotation on a center axis of said arm member.
14. The disk drive device as claimed in claim 13, wherein a force applied to said head slider by a rotational moment occurring due to an applied impact acceleration and a displacement of said position of the center of gravity is set to be not more than negative pressure or positive pressure occurring to an air bearing surface of said head slider due to rotation of said recording medium.
15. The disk drive device as claimed in claim 13, wherein said position of the center of gravity is located at a position between said actuator and said axis for vertical rotation.
16. The disk drive device as claimed in claim 15, wherein said position of the center of gravity is a position which substantially satisfies L2=M1×L1/M2, where M1 is a mass at a load point to said head slider, M2 is a mass at said position of the center of gravity, L1 is a distance between a load point to said head slider and said axis for vertical rotation, L2 is a distance between said axis for vertical rotation and said position of the center of gravity.
17. The disk drive device as claimed in claim 15, wherein when said position of the center of gravity is at a position which substantially satisfies L2>M1×L1/M2, where M1 is a mass at a load point to said head slider, M2 is a mass at said position of the center of gravity, L1 is a distance between a load point to said head slider and said axis for vertical rotation, L2 is a distance between said axis for vertical rotation and said position of the center of gravity, an air bearing surface of said head slider is set so that positive pressure occurring to the air bearing surface due to rotation of said recording medium is not less than a product of an inertial force obtained from a mass of a part from said position of center of gravity of the head arm assembly to said head slider and an applied impact acceleration.
18. The disk drive device as claimed in claim 15, wherein when said position of the center of gravity is at a position which substantially satisfies L2<M1×L1/M2, where M1 is a mass at a load point to said head slider, M2 is a mass at said position of the center of gravity, L1 is a distance between a load point to said head slider and said axis for vertical rotation, L2 is a distance between said axis for vertical rotation and said position of the center of gravity, an air bearing surface of said head slider is set so that negative pressure occurring to the air bearing surface due to rotation of said recording medium is not less than a product of an inertial force obtained from a mass of a part from said position of center of gravity of the head arm assembly to said head slider and an applied impact acceleration.
19. The disk drive device as claimed in claim 13, wherein said position of the center of gravity is located at a position between said head slider and said axis for vertical rotation.
20. The disk drive device as claimed in claim 19, wherein when said position of the center of gravity is at a position which substantially satisfies L2<M1×L1/M2, where M1 is a mass at a load point to said head slider, M2 is a mass at said position of the center of gravity, L1 is a distance between a load point to said head slider and said axis for vertical rotation, L2 is a distance between said axis for vertical rotation and said position of the center of gravity, an air bearing surface of said head slider is set so that negative pressure occurring to the air bearing surface due to rotation of said recording medium is not less than a product of an inertial force obtained from a mass of a part from said position of center of gravity of the head arm assembly to said head slider and an applied impact acceleration.
21. The disk drive device as claimed in claim 13, wherein said axis for horizontal rotation is provided at a horizontal rotation bearing part located at a midpoint of said arm member, and said axis for vertical rotation comprises a protuberance provided in the vicinity of the horizontal rotation bearing part.
22. The disk drive device as claimed in claim 21, wherein said load generation means comprises a leaf spring connected to said horizontal rotation bearing part and to said arm member.
23. The disk drive device as claimed in claim 13, wherein said arm member comprises a support arm having rigidity, and a flexure having elasticity, which is supported at one end section of the support arm and for controlling a flying attitude of said head slider, and the head slider is fixed on the flexure.
24. The disk drive device as claimed in claim 23, wherein said arm member further comprises a load beam having rigidity and including a load protrusion for applying load to said head slider, said flexure being fixed on the load beam.
Type: Grant
Filed: Jun 23, 2003
Date of Patent: Nov 8, 2005
Patent Publication Number: 20040047077
Assignees: TDK Corporation (Tokyo), SAE Magnetics (H.K.) Ltd. (Kwai Chung), Matsushita Electric Industrial Co., Ltd. (Osaka)
Inventors: Takashi Honda (Tokyo), Katsuki Kurihara (Tokyo), Takeshi Wada (Tokyo), Kai Wu (Guangdong), Kaoru Matsuoka (Osaka), Hideki Kuwajima (Kyoto)
Primary Examiner: A. J. Heinz
Attorney: Oblon, Spivak, McClelland, Maier & Neustadt, P.C.
Application Number: 10/600,435